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Finding the Fourth Proportional to 306,316.71, 422,655 and 178,967.70

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Solution

The fourth proportional to 306,316.71, 422,655 and 178,967.70 is: 246,939.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,316.71 : 422,655 = 178,967.70 : x
  2. Step 2: Convert to fraction form
    306,316.71/422,655 = 178,967.70/x
  3. Step 3: Cross multiply
    306,316.71x = 422,655 × 178,967.70
  4. Step 4: Simplify right side
    306,316.71x = 75,641,593,243.50
  5. Step 5: Solve for x
    x = 75,641,593,243.50/306,316.71
  6. Step 6: Final answer
    x = 246,939.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.